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Finding the Fourth Proportional to 722,676,487.80, 1,084,014,731.70 and 520,114,798.20

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Solution

The fourth proportional to 722,676,487.80, 1,084,014,731.70 and 520,114,798.20 is: 780,172,197.30

Step by Step Solution

  1. Step 1: Write the proportion equation
    722,676,487.80 : 1,084,014,731.70 = 520,114,798.20 : x
  2. Step 2: Convert to fraction form
    722,676,487.80/1,084,014,731.70 = 520,114,798.20/x
  3. Step 3: Cross multiply
    722,676,487.80x = 1,084,014,731.70 × 520,114,798.20
  4. Step 4: Simplify right side
    722,676,487.80x = 563,812,103,423,972,672
  5. Step 5: Solve for x
    x = 563,812,103,423,972,672/722,676,487.80
  6. Step 6: Final answer
    x = 780,172,197.30

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.